{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ECGDD3Q3BKPHJABC4Y55WGD5LX","short_pith_number":"pith:ECGDD3Q3","schema_version":"1.0","canonical_sha256":"208c31ee1b0a9e748022e63bdb187d5de89315a91c9f688683d21a52ffbdf5bc","source":{"kind":"arxiv","id":"1705.04191","version":5},"attestation_state":"computed","paper":{"title":"Behavior of vacuum and naked singularity under smooth gauge function in Lyra geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Haizhao Zhi","submitted_at":"2017-05-10T15:37:13Z","abstract_excerpt":"Lyra geometry is a conformal geometry originated from Weyl geometry. In this article, we derive the exterior field equation under spherically symmetric gauge function $x^0(r)$ and metric in Lyra geometry. When we impose a specific form of the gauge function $x^0(r)$, the radial differential equation of the metric component $g_{00}$ will possess an irregular singular point(ISP) at $r=0$. Moreover, we apply the method of dominant balance and then get the asymptotic behavior of the new spacetime solution. The significance of this work is that we could use a series of smooth gauge functions $x^0(r"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1705.04191","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-10T15:37:13Z","cross_cats_sorted":[],"title_canon_sha256":"552a160f0e54389a18a32e19febd1565dc6ca4c3d22078f9dbd8860f5bfe8ee1","abstract_canon_sha256":"9def00e4b9717165c2c347109467f2484b7a62ee9aee13d831dc47f06c70dd51"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:16.417669Z","signature_b64":"HFDRR6ydLVBpRYJeMdMg3K6Xt0AfRPX47T3Wwiw2uTHr3bFvu1eH1StpzqNGkAb2NLVlx6hUDjlFlFxS5MBSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"208c31ee1b0a9e748022e63bdb187d5de89315a91c9f688683d21a52ffbdf5bc","last_reissued_at":"2026-05-18T00:26:16.417181Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:16.417181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Behavior of vacuum and naked singularity under smooth gauge function in Lyra geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Haizhao Zhi","submitted_at":"2017-05-10T15:37:13Z","abstract_excerpt":"Lyra geometry is a conformal geometry originated from Weyl geometry. In this article, we derive the exterior field equation under spherically symmetric gauge function $x^0(r)$ and metric in Lyra geometry. When we impose a specific form of the gauge function $x^0(r)$, the radial differential equation of the metric component $g_{00}$ will possess an irregular singular point(ISP) at $r=0$. Moreover, we apply the method of dominant balance and then get the asymptotic behavior of the new spacetime solution. The significance of this work is that we could use a series of smooth gauge functions $x^0(r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04191","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1705.04191","created_at":"2026-05-18T00:26:16.417257+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.04191v5","created_at":"2026-05-18T00:26:16.417257+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04191","created_at":"2026-05-18T00:26:16.417257+00:00"},{"alias_kind":"pith_short_12","alias_value":"ECGDD3Q3BKPH","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"ECGDD3Q3BKPHJABC","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"ECGDD3Q3","created_at":"2026-05-18T12:31:12.930513+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX","json":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX.json","graph_json":"https://pith.science/api/pith-number/ECGDD3Q3BKPHJABC4Y55WGD5LX/graph.json","events_json":"https://pith.science/api/pith-number/ECGDD3Q3BKPHJABC4Y55WGD5LX/events.json","paper":"https://pith.science/paper/ECGDD3Q3"},"agent_actions":{"view_html":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX","download_json":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX.json","view_paper":"https://pith.science/paper/ECGDD3Q3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.04191&json=true","fetch_graph":"https://pith.science/api/pith-number/ECGDD3Q3BKPHJABC4Y55WGD5LX/graph.json","fetch_events":"https://pith.science/api/pith-number/ECGDD3Q3BKPHJABC4Y55WGD5LX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX/action/storage_attestation","attest_author":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX/action/author_attestation","sign_citation":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX/action/citation_signature","submit_replication":"https://pith.science/pith/ECGDD3Q3BKPHJABC4Y55WGD5LX/action/replication_record"}},"created_at":"2026-05-18T00:26:16.417257+00:00","updated_at":"2026-05-18T00:26:16.417257+00:00"}